Can I get a guided city tour?

Unfortunately, no. A greet is not a guided city tour. A greet is a personal encounter with a local, i.e. a person living in the city you are visiting. That person will show you the place from his or her very personal perspective. She will tell you stories of past and present and some facts about the city, too.

Here we compiled a short list of websites which lead you to classic tours:
Austria Guides – all pros at once
Tourism-Board Innsbruck, Guided City Tours
Tourism-Board Innsbruck, Themed Tours

If a greet is not a guided tour, will you like it?

You’ll have to try to find out. Check out the reviews to read about other people’s experience: Innsbruck Greeters reviews